Pith Number

pith:6VMEGI52

pith:2009:6VMEGI52QYCEUUBPSVIYCMUGJF

not attested not anchored not stored refs pending

Sharp inequalities for the psi function and harmonic numbers

Bai-Ni Guo, Feng Qi

arxiv:0902.2524 v1 · 2009-02-15 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VMEGI52QYCEUUBPSVIYCMUGJF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:50:40.808874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5584323ba86044a502f95518132864961804ddbda8601c935c39005a865d246

Aliases

arxiv: 0902.2524 · arxiv_version: 0902.2524v1 · doi: 10.48550/arxiv.0902.2524 · pith_short_12: 6VMEGI52QYCE · pith_short_16: 6VMEGI52QYCEUUBP · pith_short_8: 6VMEGI52

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6VMEGI52QYCEUUBPSVIYCMUGJF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f5584323ba86044a502f95518132864961804ddbda8601c935c39005a865d246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab3973017eb0d96d8e911234aed38de7b164f2bbed02385f4f3d566ced2d201",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-02-15T07:30:14Z",
    "title_canon_sha256": "25ee34c5ef3fb2bc5b280861652fd42c82a4323b8cf0d599efa235b179eb070d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2524",
    "kind": "arxiv",
    "version": 1
  }
}